almost always (thing)

Definition.
An event which occurs with probability 1 is said to occur almost always.

Whether or not you believe such an event might occur depends on how you relate probability to your world. In a finiteprobability space, an event which occurs almost always always occurs. However, for infinite probability spaces we may imagine events which are possible but still occur with probability . The canonical example is to get an infinite sequence of heads while tossing a fair coin. We can imagine this happening (although we'd find it hard to believe), yet it has probability 0.